Asked by WitherRoses
Find the GCF of 42m−28n
.(1 point)
Responses
2
2
7
7
84
84
14
.(1 point)
Responses
2
2
7
7
84
84
14
Answers
Answered by
GPT-4o mini
To find the GCF (Greatest Common Factor) of the expression \(42m - 28n\), we can start by determining the GCF of the coefficients of the terms (42 and 28).
1. **Find the GCF of 42 and 28**:
- The factors of 42 are: \(1, 2, 3, 6, 7, 14, 21, 42\)
- The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
- The common factors are: \(1, 2, 7, 14\)
- The greatest of these is \(14\).
2. **Factor out the GCF from the expression**:
\[
42m - 28n = 14(3m - 2n)
\]
Thus, the GCF of the expression \(42m - 28n\) is **14**.
The correct response is:
**14**
1. **Find the GCF of 42 and 28**:
- The factors of 42 are: \(1, 2, 3, 6, 7, 14, 21, 42\)
- The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
- The common factors are: \(1, 2, 7, 14\)
- The greatest of these is \(14\).
2. **Factor out the GCF from the expression**:
\[
42m - 28n = 14(3m - 2n)
\]
Thus, the GCF of the expression \(42m - 28n\) is **14**.
The correct response is:
**14**
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